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138868071192 = 23351134431427
BaseRepresentation
bin1000000101010100101…
…1101001101100011000
3111021102221202221100000
42001111023221230120
54233400211234232
6143443424413000
713014165062214
oct2012513515430
9437387687300
10138868071192
1153991451294
1222ab6777160
1310131212436
146a1517b944
15392b68027c
hex20552e9b18

138868071192 has 192 divisors, whose sum is σ = 394646878080. Its totient is φ = 45744072192.

The previous prime is 138868071157. The next prime is 138868071269. The reversal of 138868071192 is 291170868831.

138868071192 is a `hidden beast` number, since 1 + 388 + 6 + 8 + 0 + 71 + 192 = 666.

138868071192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97313983 + ... + 97315409.

It is an arithmetic number, because the mean of its divisors is an integer number (2055452490).

Almost surely, 2138868071192 is an apocalyptic number.

138868071192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138868071192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197323439040).

138868071192 is an abundant number, since it is smaller than the sum of its proper divisors (255778806888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138868071192 is a wasteful number, since it uses less digits than its factorization.

138868071192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 138868071192 in words is "one hundred thirty-eight billion, eight hundred sixty-eight million, seventy-one thousand, one hundred ninety-two".